Polar plot with pyplot python complex numbers?

Question

Python

How to use polar() with functions containing the imaginary part of complex numbers?

An example of a regular function:

Result:


Well, how to use polar with a function like this?

Answer 1

You have two variables in your equation, not just one, theta and phi. Here we need rather cylindrical coordinates. Or isolines. In fact, it will be a set of spirals along the phi axis with a radius equal to factors up to the exponent (if theta is a parameter).
The formula can be shortened by using 0.5*sin(2x)=sin(x)*cos(x)